The main result of this section says
that, in most cases, the sampling (of the parents) with and without replacement
become equivalent in the limit when \(N\rightarrow \infty \) ; so that the genealogies of neutral populations can be mostly
studied by the results described so far for GWF populations.
In the same spirit as in [1]},
let us consider an extension of our current setting. We assume that the total offspring size \(\Sigma _N=\sum _{i=1}^N \xi _{i,N}\)  satisfies
\(\Sigma _N\ge N\) 
